Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 90/110,450/832,705/420
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 90,450,705
Greatest Common Factor of Numerators i.e. GCF of 90,450,705 is 15 .
LCM of Denominators means LCM of 110,832,420 as per the given fractions.
LCM of 110,832,420 is 960960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 90,450,705
3 | 90, 450, 705 |
5 | 30, 150, 235 |
6, 30, 47 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 90,450,705 . The biggest common factor number is the GCF number.
So the greatest common factor 90,450,705 is 15.
Lets's calculate LCM of 110,832,420
2 | 110, 832, 420 |
2 | 55, 416, 210 |
5 | 55, 208, 105 |
11, 208, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 208 x 21 = 960960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/960960
Therefore, the GCF of Fractions 90/110,450/832,705/420 is 15/960960
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 110,832,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,832,420) = 2
common factors(in case of two or more numbers have common factors) = 20
GCF(110,832,420) x common factors =2 x 20 = 40
LCM(110,832,420) = ( 110 × 832 × 420 ) / 40
LCM(110,832,420) = 38438400 / 40
LCM(110,832,420) = 960960
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 90/110, 450/832, 705/420?
Answer: GCF of Numerators as per given numbers 90/110, 450/832, 705/420 is
GCF of Numerators i.e. for 90,450,705 is 15
LCM of denominators i.e. for 110,832,420 is 960960.
Thus, GCF of Fractions is 15/960960.Finally, GCF of Fractions for 90/110, 450/832, 705/420 is 15/960960.